Advanced Studies in Pure Mathematics

Approximations to the Goldbach and twin prime problem and gaps between consecutive primes

János Pintz

Full-text: Open access

Abstract

We give a survey about the topics mentioned in the title, with a more detailed description of the recent joint results of Goldston, Yıldırım and the author about small gaps between consecutive primes.

Article information

Source
Probability and Number Theory — Kanazawa 2005, S. Akiyama, K. Matsumoto, L. Murata and H. Sugita, eds. (Tokyo: Mathematical Society of Japan, 2007), 323-365

Dates
Received: 9 March 2006
Revised: 27 April 2006
First available in Project Euclid: 27 January 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1548550906

Digital Object Identifier
doi:10.2969/aspm/04910323

Mathematical Reviews number (MathSciNet)
MR2405611

Zentralblatt MATH identifier
1229.11131

Subjects
Primary: 11N05: Distribution of primes
Secondary: 11P32: Goldbach-type theorems; other additive questions involving primes

Citation

Pintz, János. Approximations to the Goldbach and twin prime problem and gaps between consecutive primes. Probability and Number Theory — Kanazawa 2005, 323--365, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04910323. https://projecteuclid.org/euclid.aspm/1548550906


Export citation